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Finding the Fourth Proportional to 899.40, 1,345.01 and 768.18

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Solution

The fourth proportional to 899.40, 1,345.01 and 768.18 is: 1,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.40 : 1,345.01 = 768.18 : x
  2. Step 2: Convert to fraction form
    899.40/1,345.01 = 768.18/x
  3. Step 3: Cross multiply
    899.40x = 1,345.01 × 768.18
  4. Step 4: Simplify right side
    899.40x = 1,033,210.98
  5. Step 5: Solve for x
    x = 1,033,210.98/899.40
  6. Step 6: Final answer
    x = 1,148.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.